The 24-year old is out of contract at Rugby Park this summer and has not yet signed a new deal.
Kevin Drinkell, the agent of the Killie youth product, has revealed that his client is now free to sort out his future away from Kilmarnock if he wishes.
Jamie is allowed to speak to clubs as he is out of contract at the end of the season," Drinkell told skysports.com.
"Hibs would like the opportunity to speak to Jamie about a possible move.
"There are also other clubs in Scotland and England who have expressed in Jamie.
"He has had a very good season for Kilmarnock and he is a Bosman.
"Kilmarnock still want to talk to him about a new deal and he will consider all our options before making a decision on Jamie's future."